ArticleOriginal scientific text
Title
Hypersatisfaction of formulas in agebraic systems
Authors 1, 1
Affiliations
- Universität Potsdam Institut für Mathematik, Am Neuen Palais 10, D-14469 Potsdam (Germany)
Abstract
In [2] the theory of hyperidentities and solid varieties was extended to algebraic systems and solid model classes of algebraic systems. The disadvantage of this approach is that it needs the concept of a formula system. In this paper we present a different approach which is based on the concept of a relational clone. The main result is a characterization of solid model classes of algebraic systems. The results will be applied to study the properties of the monoid of all hypersubstitutions of an ordered algebra.
Keywords
algebraic system, formula, relational clone, hyperformula
Bibliography
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Pages:
123-151
Main language of publication
English
Received
2009-05-15
Accepted
2009-11-03
Published
2009
DOI: 10.7151/dmgaa.1154
Exact and natural sciences